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Structural Damage Identification Using Spectral Finite Element Modeling for Extended Timoshenko Beams
This paper introduces a finite spectral element method for a single edge notch cracked extended Timoshenko beam for wave propagation analysis and damage detection. The crack introduced is a transverse open and non-propagating crack. The cracked region is discretized in a mass-less and dimension-less spring element. The quantity of damage implemented is expressed in terms of crack flexibility based on fracture mechanics. In the damage region, the compatibility conditions are satisfied. This procedure is approached by the spectral element method to solve the wave propagation difficulties in structures. This method is the best fit for wave propagation analysis and computing modal parameters. Periodic large lattice structures like frames, truss, etc., may experience extension-transverse shear-bending couple vibrations, which the extended Timoshenko beam theory can well describe. This paper developed a spectral element model for the classical extended Timoshenko beam element and cracked extended Timoshenko beam element. The change in wave propagation process is studied in the presence of crack by comparing responses from damaged and undamaged extended Timoshenko beams. In this paper, the effect of crack depth and crack location for wave propagation is examined. The responses collected from different points are presented. The extended Timoshenko beam element was excited with different signals to observe the effects of signals in the wave propagation process. The differences in wave propagation and proper analysis of these responses point to the damage location very accurately.
Structural Damage Identification Using Spectral Finite Element Modeling for Extended Timoshenko Beams
This paper introduces a finite spectral element method for a single edge notch cracked extended Timoshenko beam for wave propagation analysis and damage detection. The crack introduced is a transverse open and non-propagating crack. The cracked region is discretized in a mass-less and dimension-less spring element. The quantity of damage implemented is expressed in terms of crack flexibility based on fracture mechanics. In the damage region, the compatibility conditions are satisfied. This procedure is approached by the spectral element method to solve the wave propagation difficulties in structures. This method is the best fit for wave propagation analysis and computing modal parameters. Periodic large lattice structures like frames, truss, etc., may experience extension-transverse shear-bending couple vibrations, which the extended Timoshenko beam theory can well describe. This paper developed a spectral element model for the classical extended Timoshenko beam element and cracked extended Timoshenko beam element. The change in wave propagation process is studied in the presence of crack by comparing responses from damaged and undamaged extended Timoshenko beams. In this paper, the effect of crack depth and crack location for wave propagation is examined. The responses collected from different points are presented. The extended Timoshenko beam element was excited with different signals to observe the effects of signals in the wave propagation process. The differences in wave propagation and proper analysis of these responses point to the damage location very accurately.
Structural Damage Identification Using Spectral Finite Element Modeling for Extended Timoshenko Beams
Lecture Notes in Civil Engineering
Wu, Zhishen (editor) / Nagayama, Tomonori (editor) / Dang, Ji (editor) / Astroza, Rodrigo (editor) / Modak, Krishna (author) / Saravanan, T. Jothi (author) / Rajasekharan, Shanthanu (author)
Experimental Vibration Analysis for Civil Engineering Structures ; Chapter: 37 ; 439-451
2022-08-24
13 pages
Article/Chapter (Book)
Electronic Resource
English
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